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Finding the Third Proportional to 47,214 and 98,280

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Solution

The third proportional to 47,214 and 98,280 is: 204,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 98,280 = 98,280 : x
  2. Step 2: Convert to fraction form
    47,214/98,280 = 98,280/x
  3. Step 3: Cross multiply
    47,214x = 98,280 × 98,280
  4. Step 4: Simplify right side
    47,214x = 9,658,958,400
  5. Step 5: Solve for x
    x = 9,658,958,400/47,214
  6. Step 6: Final answer
    x = 204,578.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.